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math.GT2016
A Transversal for horocycle flow on H(2)
Grace Work
Using zippered rectangle coordinates we parametrize a Poincaré section for horocycle flow on the space of genus 2 translation surfaces with one singular cone point of angle . I…
math.GT2014★ 11 cited
The distribution of gaps for saddle connections on the octagon
Caglar Uyanik, Grace Work
We explicitly compute the limiting gap distribution for slopes of saddle connections on the flat surface associated to the regular octagon with opposite sides identified. This is t…